In the present paper we examine the possibility of constraining dyon black holes based on the available observational data at the scale of the Solar system. For this we consider the classical tests of general relativity, viz., the perihelion precession of the planet Mercury and the deflection of light by the Sun. In connection to mathematical analysis we are considering static and spherically symmetric dyon black hole which carries both the electric and magnetic charge simultaneously, which are encoded it by the parameters λ 0 and β 0 . We constrain these two parameters using the Solar system tests and obtain the permissible range from theoretical analysis based on our model and later on compare them with the available observational data.

In this paper we have investigated the gravitational lensing phenomenon in the strong field regime for a regular, charged, static black holes with non-linear electrodynamics source. We have obtained the angle of deflection and compared it to a Schwarzschild black hole and Reissner Nordström black hole with similar properties. We have also done a graphical study of the relativistic image positions and magnifications. We hope that this method may be useful in the detection of non-luminous bodies like this current black hole.

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The classical tests of General Relativity, namely, precession of periapsis, deflection of light and time delay serve to establish observational evidence for the theory of general relativity, so they are considered for several spherically symmetric astrophysical objects. In this paper, we investigate a stationary, spherically symmetric wormhole supported by a quintessence polytropic energy satisfying a polytropic equation of state: [Formula: see text], where [Formula: see text] is the polytropic index and [Formula: see text] is a positive constant such that [Formula: see text]. The solution of such an equation admits the negative null energy, which is the key ingredient for sustaining traversable wormholes. Motivated by the above-mentioned classical tests, we perform similar studies to explore the range of polytropic index [Formula: see text] which gives us promising results. The advance of periapsis with respect to a test particle and angle of deflection is calculated graphically for those values of [Formula: see text] which cannot be obtained analytically. The time delay has also been calculated numerically and tabulated.